Article ID: | iaor201522399 |
Volume: | 35 |
Issue: | 1 |
Start Page Number: | 41 |
End Page Number: | 60 |
Publication Date: | Jan 2014 |
Journal: | Optimal Control Applications and Methods |
Authors: | Xiang Zhengrong, Mahmoud Magdi S |
Keywords: | optimization, programming: mathematical |
A generalized approach to the problem of quantized filtering is investigated by designing a set of decentralized H∞ filters for a class of linear interconnected continuous‐time systems with unknown‐but‐bounded couplings and interval delays and where the quantizer has arbitrary form. An LMI‐based method using a decentralized quantized filter is designed at the subsystem level to render the global filtered system delay‐dependent asymptotically stable with guaranteed γ − level. It is established that this setting encompasses several special cases of interest including interconnected delay‐free systems, single time‐delay systems and single systems. We illustrate the theoretical developments by numerical simulations.